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deff fn [24]
2 years ago
11

Which expressions represent the product of a variable and a coefficient? Choose 3 answers: Choose 3 answers: (Choice A) A 11c11c

11, c (Choice B) B \dfrac{1}{2}t 2 1 ​ tstart fraction, 1, divided by, 2, end fraction, t (Choice C) C 5\cdot 105⋅105, dot, 10 (Choice D) D j\cdot 4j⋅4j, dot, 4
Mathematics
1 answer:
Marizza181 [45]2 years ago
6 0

Question:

Which expression represents the product of a variable and coefficient?

Choose 3 answers

(A) 11c

(B) 1/2 t

(C) 5•10

(D) j•4

Answer:

(A) 11c

(B) 1/2 t  

(D) j•4

Step-by-step explanation:

Required

Expression for variable and coefficient product

In algebra:

A coefficient can be anything (number of alphabets). However, a variable is always represented with an alphabet

Having said that:

Analyze each of the options

(A) 11c

Here, we have:

Variable = c

Coefficient = 11

(B) 1/2 t

Here, we have:

Variable = t

Coefficient = 1/2

(C) 5•10

Here, 5 and 10 are not variables

(D) j•4

Here, we have:

Variable = j

Coefficient = 4

<em>So, the correct options are: (A), (B) and (D)</em>

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The fish population of Lake Collins is decreasing at a rate of 5% per year. In 2000 there were about
olchik [2.2K]

Answer:

Number of fish in 2006 = 845 fishes (Approx.)

Step-by-step explanation:

Given;

Number of fish in 2000 = 1,150 fishes

Decreasing rate = 5% per year

Find:

Number of fish in 2006

Computation:

Exponential decay function:

F = P[1-r]ⁿ

Number of year = 2006 - 2000

Number of year =  6 year

Number of fish in 2006 = 1,150[1-5%]⁶

Number of fish in 2006 = 1,150[1-0.05]⁶

Number of fish in 2006 = 1,150[0.95]⁶

Number of fish in 2006 = 1,150[0.735]

Number of fish in 2006 = 845.25

Number of fish in 2006 = 845 fishes (Approx.)

4 0
3 years ago
The point (Negative StartFraction StartRoot 2 EndRoot Over 2 EndFraction, StartFraction StartRoot 2 EndRoot Over 2 EndFraction)
sveticcg [70]

The values of cosine Ф and cotangent Ф are \frac{-\sqrt{2} }{2} and -1

Step-by-step explanation:

When a terminal side of an angle intersect the unit circle at

point (x , y), then:

  • The x-coordinate is equal to cosine the angle between the positive part of x-axis and the terminal side
  • The y-coordinate is equal to sine the angle between the positive part of x-axis and the terminal side
  • If x and y coordinates are positive, then the angle lies in the 1st quadrant
  • If x-coordinate is negative and y-coordinate is positive, then the angle lies in the 2nd quadrant
  • If x and y coordinates are negative, then the angle lies in the 3rd quadrant
  • If x-coordinate is positive and y-coordinate is negative, then the angle lies in the 4th quadrant

∵ The terminal ray of angle Ф intersects the unit circle at point (\frac{-\sqrt{2} }{2},\frac{\sqrt{2} }{2})

- According to the 1st and 2nd notes above

∴ cosФ = x-coordinate of the point

∴ sinФ = y-coordinate of the point

∵ The x-coordinate of the point is negative

∵ They-coordinate of the point is positive

- According the the 4th note above

∴ Angle Ф lies in the 2nd quadrant

∵ x-coordinate = \frac{-\sqrt{2} }{2}

∴ cosФ = \frac{-\sqrt{2} }{2}

∵ y-coordinate = \frac{\sqrt{2} }{2}

∴ sinФ = \frac{\sqrt{2} }{2}

- cotФ is the reciprocal of tanФ

∵ tanФ = sinФ ÷ cosФ

∴ cotФ = cosФ ÷ sinФ

∴ cotФ = \frac{-\sqrt{2} }{2} ÷ \frac{\sqrt{2} }{2}

∴ cotФ = -1

The values of cosine Ф and cotangent Ф are \frac{-\sqrt{2} }{2} and -1

Learn more:

You can learn more about the trigonometry function in brainly.com/question/4924817

#LearnwithBrainly

4 0
3 years ago
Read 2 more answers
A certain bacterial culture is multiplying in a culture dish, doubling in size every 6 minutes. It takes exactly an hour to fill
Furkat [3]
Doubling in size,

if the whole dish is filled in an hour (all of it)
how long does it take to fill 1/2 dish?

notice that
1/2 doubled=1/2 times 2=2/2=1 whole dish
therefor it only doubled one more time from the 1/2 point

1hour=all
1hour-6mins=1/2 dish

1hour-6mins=60-6=54 minutes


answer is 54 minutes
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Answer:

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Then y = - 3x + 2

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(0,-8) (3,-7)

m = (-7 - - 8) / (3-0) = 1/3

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2 years ago
I need help with this question asap!
Tpy6a [65]

Answer:

x=15

Step-by-step explanation:

This is an equilateral triangle.  That means all sides are equal and all angles are equal

An equilateral triangle has angle measurements of 60 degrees

60 =4x

Divide each side by 4

60/4 = 4x/4

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